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Question

Mathematics Question on Trigonometric Functions

If 1+sin⁡θ+sin⁡2 θ+.............1 + \sin\theta + \sin^2\, \theta + ............. $to \infty=4+2\sqrt{3},0

A

π6\frac{\pi}{6}

B

π3\frac{\pi}{3}

C

π3orπ6\frac{\pi}{3}or\frac{\pi}{6}

D

π3or2π3\frac{\pi}{3}or\frac{2\pi}{3}

Answer

π3or2π3\frac{\pi}{3}or\frac{2\pi}{3}

Explanation

Solution

1+sin⁡ θ+sin⁡2θ+............=4+231 + \sin \, \theta + \sin^2 \theta + ............ = 4 + 2 \sqrt{3}